1020306221 has 16 divisors (see below), whose sum is σ = 1203621120. Its totient is φ = 854407680.

The previous prime is 1020306173. The next prime is 1020306229. The reversal of 1020306221 is 1226030201.

1020306221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020306221 is a prime.

It is a super-2 number, since 2×1020306221² = 2082049569222601682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1020306221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020306229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49256 + ... + 66833.

It is an arithmetic number, because the mean of its divisors is an integer number (75226320).

Almost surely, 2^1020306221 is an apocalyptic number.

1020306221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020306221 is a deficient number, since it is larger than the sum of its proper divisors (183314899).

1020306221 is a wasteful number, since it uses less digits than its factorization.

1020306221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116164.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1020306221 is about 31942.2325612973. The cubic root of 1020306221 is about 1006.7234344525.

Adding to 1020306221 its reverse (1226030201), we get a palindrome (2246336422).

The spelling of 1020306221 in words is "one billion, twenty million, three hundred six thousand, two hundred twenty-one".